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oai:uvadoc.uva.es:10324/323412025-03-26T19:10:03Zcom_10324_1176com_10324_931com_10324_894col_10324_1359

Numerical analysis of a cell dwarfism model Abia Llera, Luis María Angulo Torga, Óscar López Marcos, Juan Carlos López Marcos, Miguel Ángel Análisis numérico Producción Científica In this work, we study numerically a model which describes cell dwarfism. It consists in a pure initial value problem for a first order partial differential equation, that can be applied to the description of the evolution of diseases as thalassemia. We design two numerical methods that prevent the use of the characteristic curve x = 0, and derive their optimal rates of convergence. Numerical experiments are also reported in order to demonstrate the predicted accuracy of the schemes. Finally, a comparison study on their efficiency is presented. 2018-10-26T08:53:59Z 2018-10-26T08:53:59Z 2019 info:eu-repo/semantics/article Journal of Computational and Applied Mathematics, vol. 349, p. 82–92. http://uvadoc.uva.es/handle/10324/32341 10.1016/j.cam.2018.09.038 eng https://www.sciencedirect.com/science/article/pii/S0377042718305892 info:eu-repo/semantics/openAccess Elsevier SI